755410640 has 120 divisors (see below), whose sum is σ = 1904643720. Its totient is φ = 277635072.

The previous prime is 755410633. The next prime is 755410661. The reversal of 755410640 is 46014557.

It can be written as a sum of positive squares in 4 ways, for example, as 67502656 + 687907984 = 8216^2 + 26228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 755410597 and 755410606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8487716 + ... + 8487804.

It is an arithmetic number, because the mean of its divisors is an integer number (15872031).

Almost surely, 2^755410640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952321860).

755410640 is an abundant number, since it is smaller than the sum of its proper divisors (1149233080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

755410640 is a wasteful number, since it uses less digits than its factorization.

755410640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 755410640 is about 27484.7346721776. The cubic root of 755410640 is about 910.7399046139.

The spelling of 755410640 in words is "seven hundred fifty-five million, four hundred ten thousand, six hundred forty".